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20
Solve: |2x + -8| ≤ 16
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-4 ≤ x ≤ 12
Solve: |5x + 11| ≤ 12
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-4 ≤ x ≤ 0
Solve for x: -6(x + 6) = -48
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
Solve for x: -1(x + -10) = 15
Solve a two-step equation.
Divide both sides by a, then subtract b.
-5
What is 123% of 700?
Compute the percent value (integer-safe).
Compute 123/100 × 700.
861
Solve: |3x + -12| = 10
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Simplify: 0x + 8x + -5y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
8x - 5y
Solve for x: 4(x + -2) = 0
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
Solve: |-6x + 5| = 19
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
4
Solve for x: -8(x + 11) = -112
Solve a two-step equation.
Divide both sides by a, then subtract b.
3
Solve: 10x + 17 < -123
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -14
Simplify: -7x + -1x + 1y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-8x + 1y
Solve: |8x + 18| ≤ 4
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-2 ≤ x ≤ -2
If each item costs 8 dollars and the total cost is 208, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
26
What is -36% of 25?
Compute the percent value (integer-safe).
Compute -36/100 × 25.
-9
What is 77% of 200?
Compute the percent value (integer-safe).
Compute 77/100 × 200.
154
What is 28% of 50?
Compute the percent value (integer-safe).
Compute 28/100 × 50.
14
If each item costs 19 dollars and the total cost is 209, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
11
If each item costs 10 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
0
What is 79% of 0?
Compute the percent value (integer-safe).
Compute 79/100 × 0.
0
Simplify: -2x + -7x + -5y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-9x - 5y
Solve: |8x + -6| = 5
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Simplify: -8x + -6x + -4y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-14x - 4y
Simplify: 2x + 0x + -3y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
2x - 3y
Solve: |-8x + -12| ≤ 4
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-2 ≤ x ≤ -1
Solve: |-6x + -14| = 18
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve: 10x + -10 ≥ 90
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 10
If each item costs -2 dollars and the total cost is 10, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-5
Solve for x: 8(x + 14) = 112
Solve a two-step equation.
Divide both sides by a, then subtract b.
0
If each item costs -8 dollars and the total cost is 144, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-18
If each item costs 20 dollars and the total cost is -140, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-7
Solve: |5x + 3| = 20
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve for x: -11x + -7 = -227
Solve the linear equation.
Subtract b from both sides, then divide by a.
20
Solve for x: -2(x + 13) = -52
Solve a two-step equation.
Divide both sides by a, then subtract b.
13
If each item costs 19 dollars and the total cost is -19, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-1
Solve: |-5x + -1| = 20
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve: 5x + -10 < -105
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -19
Simplify: 6x + 6x + -7y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
12x - 7y
Solve: -9x + 5 > 5
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 0
Solve: -10x + 18 < -82
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 10
Solve for x: -7(x + 9) = -28
Solve a two-step equation.
Divide both sides by a, then subtract b.
-5
What is 66% of 350?
Compute the percent value (integer-safe).
Compute 66/100 × 350.
231
Solve: |6x + 8| ≤ 4
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-2 ≤ x ≤ -1
Solve: -5x + -20 < 10
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -6
Solve: |4x + -5| ≤ 17
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-3 ≤ x ≤ 5
Solve: |2x + -12| = 0
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
6
Solve: |5x + 10| = 9
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Simplify: -4x + 3x + -3y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
-1x - 3y
Solve: -6x + -14 ≥ -56
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 7
What is 26% of 200?
Compute the percent value (integer-safe).
Compute 26/100 × 200.
52
Solve: |7x + 9| ≤ 2
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-1 ≤ x ≤ -1
Solve for x: -1(x + 5) = -17
Solve a two-step equation.
Divide both sides by a, then subtract b.
12
Solve for x: 5(x + -6) = -105
Solve a two-step equation.
Divide both sides by a, then subtract b.
-15
Solve: |7x + -6| = 5
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
If each item costs 20 dollars and the total cost is -40, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-2
If each item costs 10 dollars and the total cost is -170, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-17
Solve for x: 5(x + -14) = -90
Solve a two-step equation.
Divide both sides by a, then subtract b.
-4
Solve for x: 4(x + -11) = -76
Solve a two-step equation.
Divide both sides by a, then subtract b.
-8
Solve for x: 4x + 24 = -4
Solve the linear equation.
Subtract b from both sides, then divide by a.
-7
Solve for x: -5(x + 0) = 5
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
Solve: |-6x + -8| ≤ 15
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-3 ≤ x ≤ 1
What is 7% of 500?
Compute the percent value (integer-safe).
Compute 7/100 × 500.
35
Solve for x: 1x + 8 = 7
Solve the linear equation.
Subtract b from both sides, then divide by a.
-1
What is 109% of 900?
Compute the percent value (integer-safe).
Compute 109/100 × 900.
981
Solve for x: -3x + -27 = -15
Solve the linear equation.
Subtract b from both sides, then divide by a.
-4
If each item costs -3 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
0
Solve for x: 4x + 8 = -8
Solve the linear equation.
Subtract b from both sides, then divide by a.
-4
Solve: -3x + -9 ≤ 21
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -10
Solve: -7x + -17 > -157
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 20
If each item costs 12 dollars and the total cost is 36, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
3
Solve for x: 2(x + -3) = 12
Solve a two-step equation.
Divide both sides by a, then subtract b.
9
If each item costs 15 dollars and the total cost is -105, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-7
Solve: |6x + 7| = 3
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve for x: 1(x + 13) = 6
Solve a two-step equation.
Divide both sides by a, then subtract b.
-7
What is 43% of 400?
Compute the percent value (integer-safe).
Compute 43/100 × 400.
172
What is 53% of 1000?
Compute the percent value (integer-safe).
Compute 53/100 × 1000.
530
What is -30% of 30?
Compute the percent value (integer-safe).
Compute -30/100 × 30.
-9
Solve for x: -5x + 3 = -72
Solve the linear equation.
Subtract b from both sides, then divide by a.
15
Simplify: -4x + 6x + 2y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
2x + 2y
Solve for x: 4(x + 6) = -8
Solve a two-step equation.
Divide both sides by a, then subtract b.
-8
Simplify: 3x + 4x + -5y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
7x - 5y
If each item costs 18 dollars and the total cost is 216, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
12
What is 9% of 900?
Compute the percent value (integer-safe).
Compute 9/100 × 900.
81
Solve: |8x + 11| ≤ 0
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
no integer solutions
If each item costs -6 dollars and the total cost is -18, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
3
Simplify: 4x + 0x + -4y
Combine like terms.
Add coefficients of like terms (x with x, y with y).
4x - 4y
What is 85% of 140?
Compute the percent value (integer-safe).
Compute 85/100 × 140.
119
If each item costs -4 dollars and the total cost is -44, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
11
Solve for x: -10x + 9 = -111
Solve the linear equation.
Subtract b from both sides, then divide by a.
12
Solve: -4x + -15 ≤ -27
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 3
Solve: |7x + 0| = 6
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve: |-6x + 13| ≤ 8
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
1 ≤ x ≤ 3
Solve: |-7x + -7| ≤ 7
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-2 ≤ x ≤ 0
Solve: 6x + 14 < 86
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 12
Solve: |7x + -1| = 9
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
Solve: |-1x + -6| ≤ 18
Find integer range of x satisfying the absolute inequality.
Isolate and produce interval then take integer bounds.
-24 ≤ x ≤ 12
Solve: |-4x + 15| = 11
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
1
Solve: |8x + 9| = 16
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions
If each item costs -9 dollars and the total cost is -117, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
13
Solve: |-8x + -14| = 5
Find integer solutions x, if any.
Set inside equal to ±c and solve both linear equations.
no integer solutions